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Finding the Fourth Proportional to 203,305.75, 280,791.97 and 138,664.71

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Solution

The fourth proportional to 203,305.75, 280,791.97 and 138,664.71 is: 191,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,305.75 : 280,791.97 = 138,664.71 : x
  2. Step 2: Convert to fraction form
    203,305.75/280,791.97 = 138,664.71/x
  3. Step 3: Cross multiply
    203,305.75x = 280,791.97 × 138,664.71
  4. Step 4: Simplify right side
    203,305.75x = 38,935,936,743.72
  5. Step 5: Solve for x
    x = 38,935,936,743.72/203,305.75
  6. Step 6: Final answer
    x = 191,514.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.